On the flow of non-axisymmetric perturbations of cylinders via surface diffusion

Jeremy LeCrone, Gieri Simonett

We study the surface diffusion flow acting on a class of general (non--axisymmetric) perturbations of cylinders ${\mathcal{C}}_r$ in ${\mathrm{I}\mathrm{R}}^3$. Using tools from parabolic theo…